We investigate generalizations of the topology of the higher Cantor space on 2^kappa, based on arbitrary ideals rather than the bounded ideal on kappa. Our main focus is on the topology induced by the nonstationary ideal, and we call this topology the nonstationary topology, or also the Edinburgh topology on 2^kappa.
Holy, P., Koelbing, M., Schlicht, P., Wohofsky, W. (2022). Ideal topologies in higher descriptive set theory. ANNALS OF PURE AND APPLIED LOGIC, 173(4), 1-36 [10.1016/j.apal.2021.103061].
Ideal topologies in higher descriptive set theory
Schlicht, Philipp;
2022-01-01
Abstract
We investigate generalizations of the topology of the higher Cantor space on 2^kappa, based on arbitrary ideals rather than the bounded ideal on kappa. Our main focus is on the topology induced by the nonstationary ideal, and we call this topology the nonstationary topology, or also the Edinburgh topology on 2^kappa.
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https://hdl.handle.net/11365/1277495